Exercise 1. Illustrate the value of the following t-distributions. a. two-tailed with a = 10% and df=10. b. one-tailed with a = 5% and df=18. c. two-tailed with a = 5% and n=29.
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- On average, a banana will last 6.1 days from the time it is purchased in the store to the time it is too rotten to eat. Is the mean time to spoil greater if the banana is hung from the ceiling? The data show results of an experiment with 13 bananas that are hung from the ceiling. Assume that that distribution of the population is normal. 7.4, 7.5, 7.9, 5.7, 5.9, 8.1, 4.8, 8.7, 6.8, 5.9, 8.2, 5.1, 5.1 What can be concluded at the the αα = 0.10 level of significance level of significance? For this study, we should use Correct The alternative hypothesis would be: H1:H1: Correct Correct Correct The test statistic Correct = (please show your answer to 3 decimal places.) Based on this, we should Correct the null hypothesis. Thus, the final conclusion is that ...Ria wants to know if there is a specific difference between the average monthly hair growth using Shampoo A vs Shampoo B. She recruited 8 participants and compared their average monthly hair growth (in centimeters) using two different brands. Her data is assumed to be normally distributed which produced the following values:1. The amount of time a Tech student spends on Instagram has an approximately exponential distribution with mean 60 minutes. a. What is the probability a randomly selected student spends less than 45 on Instagram? b. Illustrate your answer from a. using the pdf c. Find the cumulative distribution function for the time students spend on Instagram. d. What is the probability a randomly selected student is on Instagram for a time within 2 standard deviation of the mean?
- Consider a t-distribution with 9 degrees of freedom. Find to.34.The following data are the monthly salaries and the grade point averages for students who obtained a bachelor's degree in mathematics. GPA: 2.6, 3.4, 3.6, 3.2, 3.5, and 2.9; Monthly Salary: 3300, 3600, 4000, 3500, 3900, and 3600. Develop a 95% prediction interval for the expected value of y when x 3.6. Explain.The price to earnings ratio (P/E) Is an Important tool in financial work. A random sample of 14 large U.S. banks (JP Morgan Chase, Bank of America, and others) gave the following P/E ratios.t 24 16 22 14 12 13 17 22 15 19 23 13 11 18 The sample mean is x = 17.1. Generally speaking, a low P/E ratio indicates a "value" or bargain stock. Suppose a recent copy of a magazine indicated that the P/E ratio of a certain stock index is H = 18. Let x be a random variable representing the P/E ratio of all large U.S. bank stocks. We assume that x has a normal distribution and o = 4.7. Do these data indicate that the P/E ratio of all U.S. bank stocks is less than 18? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 18; H1: H # 18; two-tailed O Ho: H = 18; H1: H 18; right-tailed %3D O Ho: H # 18; H1: H = 18; two-tailed (b) What sampling distribution will you use? Explain the rationale…
- in "a" the blank is "z" and "t" distributionListed below, from left to right and then top to bottom, are numbers of law enforcement fatalities for 20 recent and consecutive years. First find the mean, identify each value as being above the mean (A) or below the mean (B), then test for randomness above and below the mean using α = 0.05. Is there a trend? 183 140 173 172 144 163 242 159 150 165 164 155 191 147 124 160 171 125 106 116 The mean is. (Type an integer or a decimal. Do not round.) CFind the mean deviation about median for the following distribution : x : 5 7 11 13 15 17 f: 2 4 6 8 10 12 8
